How can I see the steps of solving a PDE ( partial differential equation ) in maple .
for example see the sepration variables and other equations that lead to final Eq .

a=5/6

then how to plot the function in Maple 12 

restart:with(plots):

eq := diff(f(eta), eta, eta, eta)+.11-(diff(f(eta), eta));

bc2 := f(0) = 0, (D(f))(0) = 1, (D(f))(10) = .1;

dsolve({eq,bc2}):

F1:=evalf(rhs(%));

contourplot(x*F1,x=-3..3,eta=-0.2..0.2);

I need to get the data from the above plot in a .txt file.

Thanks  

I have been given the logistics map:   x_n+1 = rx_n(1-x_n) where x_n is a number between zero and one that represents the size of the population in the nth generation as a ratio of the environment’s maximum capacity.
The parameter r is a positive number related to both the reproduction rate and the rate at which the
population dies due to limited resources.  Create a procedure (taking arguments r and initial population size x

Is this really the answer we want?  

> sum(log(n)/n,n=1..infinity);  

Error, (in Zeta) numeric exception: division by zero  

rsolve(a(n)=2/a(n-1)+1,a(1)=1),

thx in advance.

Sorry, this seems like a silly question. But is there an easy way to convert trig funcitons, or even non trig functions to orthogonal (in this case Legendre) polynomials? 

Hello,

I am trying to solve 9 non linear equations in 3 do loops(program attached without loop) and I am using digits:=20; for computing 10 values its takes around 5 minutes. I need to compute around 18000 such values for a plot. It might take several days for this. Is there any mistake in my code which is taking it so long to run or is it just the complexity of the equations.

Secondly, I am trying to compute some calculations to...

Hi,

     So I've got a numerical solution to a D.E. and want to find which parameters (v, theta) cause the second event to occur. Here's my dsolve

> soln:= dsolve({eqx, eqy, inty, intx, x(0)=0, y(0)=0}, {x(t), y(t)}, numeric, method = rkf45, output=listprocedure, parameters=[v, theta], events=[ [ [diff(y(t),t)=0, y(t)

 The first event is "Does the trajectory reach its max at a height less than 3.05m? If so, stop computation"...

Can I create an tensor in the Physics package in Maple 16 with a free index like i=1..N:

A[mu,1]:=A[mu]

A[mu,2]:=B[mu]

.

.

.

and so on? The index is not one of the type gauge, spacetime or spinor.

Can you expalin the difference between the gaugeindices, spinorindices,and spacetimeindices in the Physics package in Maple 16? 

Hello every one,

I am using similarity transformation to transform a PDE into an ODE.

I got the ode but its in a very ambiguous (unclear) form.

I need help to have the ode in a more friendly reading format.

Thanks

pdetoodest.mw

Is it possible to change the caption of RiemannSum command in Student[Calculus1] package with animation output option, keeping approximate value and number of partitions outputs?  I tried to use typeset command, but I haven’t succeeded.

Best regards,

Emrah

Hi, I have created 2 annulus;

> display(sector([2, -5.5], 2.5 .. 3.5, (1/5)*Pi .. (1/2)*Pi, color = "Niagara Burgundy"), axes = none, scaling = constrained);
%;

> display(sector([5, -5], 1 .. 1.5, (1/5)*Pi .. 2*Pi, color = "Green"), axes = none);

But I want the green annulus to cross the Niagara Burgundy annulus at the points where the green annulus is open. The green annulus is open with an angle...

Hi,

I have succesfully created a annulus. Because I am creating a garden, I am interested in making circular shrubs in the annulus. I mean an annulus filled with small circles.  How do I do that?

I have this annulus;

display(sector([4.5, -5.5], 2.5 .. 3.5, 0 .. 2*Pi, color = "Green"), axes = none, scaling = constrained)

the radius of the small circles should be: (3.5-2.5=1)